Least Common Multiple of 6024/60, 2212/485

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6024/60, 2212/485 quickly i.e. 3331272/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6024/60, 2212/485 is 3331272/5.

LCM(6024/60, 2212/485) = 3331272/5

LCM of 6024/60, 2212/485

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 6024/60,2212/485

Given numbers are 6024/60,2212/485

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 6024,2212

Least Common Multiple of Numerators i.e. LCM of 6024,2212 is 3331272.

GCF of Denominators means GCF of 60,485 as per the given fractions.

GCF of 60,485 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6024,2212

LCM of Fractions 6024/60,2212/485 is 3331272/5

2 6024, 2212
2 3012, 1106
1506, 553

∴ So the LCM of the given numbers is 2 x 2 x 1506 x 553 = 3331272

Least Common Multiple of 6024,2212 with GCF Formula

Least Common Multiple of 6024,2212 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 6024,2212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6024,2212) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(6024,2212) x common factors =4 x 1 = 4

LCM(6024,2212) = ( 6024 × 2212 ) / 4

LCM(6024,2212) = 13325088 / 4

LCM(6024,2212) = 3331272


Lets's calculate GCF of 60,485

5 60, 485
12, 97

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3331272/5

Therefore the LCM of Fractions 6024/60,2212/485 is 3331272/5

Greatest Common Factor of 60,485 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,485 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 485

List of positive integer factors of 485 that divides 485 without a remainder.

1,5,97,485

Greatest Common Factor

We found the factors 60,485 . The biggest common factor number is the GCF number.
So the greatest common factor 60,485 is 5.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6024/60, 2212/485

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 6024/60, 2212/485?

Answer: LCM of Numerators as per given numbers 6024/60, 2212/485 is

LCM of Numerators i.e. for 6024,2212 is 3331272

GCF of denominators i.e. for 60,485 is 5.

Thus, LCM of Fractions is 3331272/5.Finally, LCM of Fractions for 6024/60, 2212/485 is 3331272/5.